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Finding the Fourth Proportional to 310,751,995.20, 466,127,992.80 and 189,819,643.20

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Solution

The fourth proportional to 310,751,995.20, 466,127,992.80 and 189,819,643.20 is: 284,729,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,751,995.20 : 466,127,992.80 = 189,819,643.20 : x
  2. Step 2: Convert to fraction form
    310,751,995.20/466,127,992.80 = 189,819,643.20/x
  3. Step 3: Cross multiply
    310,751,995.20x = 466,127,992.80 × 189,819,643.20
  4. Step 4: Simplify right side
    310,751,995.20x = 88,480,249,278,828,160
  5. Step 5: Solve for x
    x = 88,480,249,278,828,160/310,751,995.20
  6. Step 6: Final answer
    x = 284,729,464.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.